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Finding the Third Proportional to 3,512,071.41 and 7,121,031.47

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Solution

The third proportional to 3,512,071.41 and 7,121,031.47 is: 14,438,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512,071.41 : 7,121,031.47 = 7,121,031.47 : x
  2. Step 2: Convert to fraction form
    3,512,071.41/7,121,031.47 = 7,121,031.47/x
  3. Step 3: Cross multiply
    3,512,071.41x = 7,121,031.47 × 7,121,031.47
  4. Step 4: Simplify right side
    3,512,071.41x = 50,709,089,178,927.78
  5. Step 5: Solve for x
    x = 50,709,089,178,927.78/3,512,071.41
  6. Step 6: Final answer
    x = 14,438,513.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.